# Missing Error in aligned equations I think here's the problematic code The series expansion of e^z is given by $e^z = \displaystyle \sum^{\infty}_{n=0} \dfrac{z^n}{n!}$  Then we can write the given function as \begin*{align} \frac{e^z - 1}{z^2} &= \frac{e^z}{z^2} - \frac{1}{z^2} \\ &= \frac{1}{z^2} \left( 1 + z + \frac{z^2}{2!} + \frac{z^3}{3!} + \cdots \right) + \frac{1}{z^2} \\ &= \frac{z}{z^2} + \frac{1}{2} + \frac{z}{3!} + \frac{z^2}{4!} + \cdots \\ &= \frac{1}{z} + \frac{1}{2} \frac{z}{3!} + \displaystyle \sum^{\infty}_{k=2} \frac{z^k}{(k+2)!} \end*{align}  The error messages include "! extra } or missing" and "! Misplaced alignment tab character &". It's 3 AM here, so I apologize if I’ve missed a missing \$ or {} but I really don't see what the error is here. I have tried changing the formatting so that I delete all the white space but it doesn't seem to help either.

Thank you

• You need no \displaystyle with both inputs, after correcting \begin*{align} and \end*{align} into \begin{align*} and \end{align*}. Also \cdots should be \dotsb. Jul 8, 2013 at 8:59

I think your problem is the placement of the *

\begin{align*}
\frac{e^z - 1}{z^2} &= \frac{e^z}{z^2} - \frac{1}{z^2} \\
&= \frac{1}{z^2} \left( 1 + z + \frac{z^2}{2!} + \frac{z^3}{3!} +    \cdots \right) + \frac{1}{z^2} \\
&= \frac{z}{z^2} + \frac{1}{2} + \frac{z}{3!} + \frac{z^2}{4!} + \cdots \\
&= \frac{1}{z} + \frac{1}{2} \frac{z}{3!} + \displaystyle
\sum^{\infty}_{k=2} \frac{z^k}{(k+2)!}
\end{align*}


Placing the star within the curly brackets and at the end of the environment will stop numbering if that was your intent.

Additionally, for this line of code, you don't need \displayatyle of \dfrac since  is displaymath, so

$e^z = \displaystyle \sum^{\infty}_{n=0} \dfrac{z^n}{n!}$


can be

$e^z = \sum^{\infty}_{n=0} \frac{z^n}{n!}$


with the same output.